dockerfile/examples/openssl/openssl-3.2.1/share/man/man7/EVP_PKEY-DH.7ossl

458 lines
18 KiB
Plaintext

.\" Automatically generated by Pod::Man 2.27 (Pod::Simple 3.28)
.\"
.\" Standard preamble:
.\" ========================================================================
.de Sp \" Vertical space (when we can't use .PP)
.if t .sp .5v
.if n .sp
..
.de Vb \" Begin verbatim text
.ft CW
.nf
.ne \\$1
..
.de Ve \" End verbatim text
.ft R
.fi
..
.\" Set up some character translations and predefined strings. \*(-- will
.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left
.\" double quote, and \*(R" will give a right double quote. \*(C+ will
.\" give a nicer C++. Capital omega is used to do unbreakable dashes and
.\" therefore won't be available. \*(C` and \*(C' expand to `' in nroff,
.\" nothing in troff, for use with C<>.
.tr \(*W-
.ds C+ C\v'-.1v'\h'-1p'\s-2+\h'-1p'+\s0\v'.1v'\h'-1p'
.ie n \{\
. ds -- \(*W-
. ds PI pi
. if (\n(.H=4u)&(1m=24u) .ds -- \(*W\h'-12u'\(*W\h'-12u'-\" diablo 10 pitch
. if (\n(.H=4u)&(1m=20u) .ds -- \(*W\h'-12u'\(*W\h'-8u'-\" diablo 12 pitch
. ds L" ""
. ds R" ""
. ds C` ""
. ds C' ""
'br\}
.el\{\
. ds -- \|\(em\|
. ds PI \(*p
. ds L" ``
. ds R" ''
. ds C`
. ds C'
'br\}
.\"
.\" Escape single quotes in literal strings from groff's Unicode transform.
.ie \n(.g .ds Aq \(aq
.el .ds Aq '
.\"
.\" If the F register is turned on, we'll generate index entries on stderr for
.\" titles (.TH), headers (.SH), subsections (.SS), items (.Ip), and index
.\" entries marked with X<> in POD. Of course, you'll have to process the
.\" output yourself in some meaningful fashion.
.\"
.\" Avoid warning from groff about undefined register 'F'.
.de IX
..
.nr rF 0
.if \n(.g .if rF .nr rF 1
.if (\n(rF:(\n(.g==0)) \{
. if \nF \{
. de IX
. tm Index:\\$1\t\\n%\t"\\$2"
..
. if !\nF==2 \{
. nr % 0
. nr F 2
. \}
. \}
.\}
.rr rF
.\"
.\" Accent mark definitions (@(#)ms.acc 1.5 88/02/08 SMI; from UCB 4.2).
.\" Fear. Run. Save yourself. No user-serviceable parts.
. \" fudge factors for nroff and troff
.if n \{\
. ds #H 0
. ds #V .8m
. ds #F .3m
. ds #[ \f1
. ds #] \fP
.\}
.if t \{\
. ds #H ((1u-(\\\\n(.fu%2u))*.13m)
. ds #V .6m
. ds #F 0
. ds #[ \&
. ds #] \&
.\}
. \" simple accents for nroff and troff
.if n \{\
. ds ' \&
. ds ` \&
. ds ^ \&
. ds , \&
. ds ~ ~
. ds /
.\}
.if t \{\
. ds ' \\k:\h'-(\\n(.wu*8/10-\*(#H)'\'\h"|\\n:u"
. ds ` \\k:\h'-(\\n(.wu*8/10-\*(#H)'\`\h'|\\n:u'
. ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'^\h'|\\n:u'
. ds , \\k:\h'-(\\n(.wu*8/10)',\h'|\\n:u'
. ds ~ \\k:\h'-(\\n(.wu-\*(#H-.1m)'~\h'|\\n:u'
. ds / \\k:\h'-(\\n(.wu*8/10-\*(#H)'\z\(sl\h'|\\n:u'
.\}
. \" troff and (daisy-wheel) nroff accents
.ds : \\k:\h'-(\\n(.wu*8/10-\*(#H+.1m+\*(#F)'\v'-\*(#V'\z.\h'.2m+\*(#F'.\h'|\\n:u'\v'\*(#V'
.ds 8 \h'\*(#H'\(*b\h'-\*(#H'
.ds o \\k:\h'-(\\n(.wu+\w'\(de'u-\*(#H)/2u'\v'-.3n'\*(#[\z\(de\v'.3n'\h'|\\n:u'\*(#]
.ds d- \h'\*(#H'\(pd\h'-\w'~'u'\v'-.25m'\f2\(hy\fP\v'.25m'\h'-\*(#H'
.ds D- D\\k:\h'-\w'D'u'\v'-.11m'\z\(hy\v'.11m'\h'|\\n:u'
.ds th \*(#[\v'.3m'\s+1I\s-1\v'-.3m'\h'-(\w'I'u*2/3)'\s-1o\s+1\*(#]
.ds Th \*(#[\s+2I\s-2\h'-\w'I'u*3/5'\v'-.3m'o\v'.3m'\*(#]
.ds ae a\h'-(\w'a'u*4/10)'e
.ds Ae A\h'-(\w'A'u*4/10)'E
. \" corrections for vroff
.if v .ds ~ \\k:\h'-(\\n(.wu*9/10-\*(#H)'\s-2\u~\d\s+2\h'|\\n:u'
.if v .ds ^ \\k:\h'-(\\n(.wu*10/11-\*(#H)'\v'-.4m'^\v'.4m'\h'|\\n:u'
. \" for low resolution devices (crt and lpr)
.if \n(.H>23 .if \n(.V>19 \
\{\
. ds : e
. ds 8 ss
. ds o a
. ds d- d\h'-1'\(ga
. ds D- D\h'-1'\(hy
. ds th \o'bp'
. ds Th \o'LP'
. ds ae ae
. ds Ae AE
.\}
.rm #[ #] #H #V #F C
.\" ========================================================================
.\"
.IX Title "EVP_PKEY-DH 7ossl"
.TH EVP_PKEY-DH 7ossl "2024-01-30" "3.2.1" "OpenSSL"
.\" For nroff, turn off justification. Always turn off hyphenation; it makes
.\" way too many mistakes in technical documents.
.if n .ad l
.nh
.SH "NAME"
EVP_PKEY\-DH, EVP_PKEY\-DHX, EVP_KEYMGMT\-DH, EVP_KEYMGMT\-DHX
\&\- EVP_PKEY DH and DHX keytype and algorithm support
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
For \fB\s-1DH\s0\fR \s-1FFC\s0 key agreement, two classes of domain parameters can be used:
\&\*(L"safe\*(R" domain parameters that are associated with approved named safe-prime
groups, and a class of \*(L"FIPS186\-type\*(R" domain parameters. FIPS186\-type domain
parameters should only be used for backward compatibility with existing
applications that cannot be upgraded to use the approved safe-prime groups.
.PP
See \s-1\fIEVP_PKEY\-FFC\s0\fR\|(7) for more information about \s-1FFC\s0 keys.
.PP
The \fB\s-1DH\s0\fR key type uses PKCS#3 format which saves \fIp\fR and \fIg\fR, but not the
\&\fIq\fR value.
The \fB\s-1DHX\s0\fR key type uses X9.42 format which saves the value of \fIq\fR and this
must be used for \s-1FIPS186\-4.\s0 If key validation is required, users should be aware
of the nuances associated with \s-1FIPS186\-4\s0 style parameters as discussed in
\&\*(L"\s-1DH\s0 key validation\*(R".
.SS "\s-1DH\s0 and \s-1DHX\s0 domain parameters"
.IX Subsection "DH and DHX domain parameters"
In addition to the common \s-1FCC\s0 parameters that all \s-1FFC\s0 keytypes should support
(see \*(L"\s-1FFC\s0 parameters\*(R" in \s-1\fIEVP_PKEY\-FFC\s0\fR\|(7)) the \fB\s-1DHX\s0\fR and \fB\s-1DH\s0\fR keytype
implementations support the following:
.ie n .IP """group"" (\fB\s-1OSSL_PKEY_PARAM_GROUP_NAME\s0\fR) <\s-1UTF8\s0 string>" 4
.el .IP "``group'' (\fB\s-1OSSL_PKEY_PARAM_GROUP_NAME\s0\fR) <\s-1UTF8\s0 string>" 4
.IX Item "group (OSSL_PKEY_PARAM_GROUP_NAME) <UTF8 string>"
Sets or gets a string that associates a \fB\s-1DH\s0\fR or \fB\s-1DHX\s0\fR named safe prime group
with known values for \fIp\fR, \fIq\fR and \fIg\fR.
.Sp
The following values can be used by the OpenSSL's default and \s-1FIPS\s0 providers:
\&\*(L"ffdhe2048\*(R", \*(L"ffdhe3072\*(R", \*(L"ffdhe4096\*(R", \*(L"ffdhe6144\*(R", \*(L"ffdhe8192\*(R",
\&\*(L"modp_2048\*(R", \*(L"modp_3072\*(R", \*(L"modp_4096\*(R", \*(L"modp_6144\*(R", \*(L"modp_8192\*(R".
.Sp
The following additional values can also be used by OpenSSL's default provider:
\&\*(L"modp_1536\*(R", \*(L"dh_1024_160\*(R", \*(L"dh_2048_224\*(R", \*(L"dh_2048_256\*(R".
.Sp
\&\s-1DH/DHX\s0 named groups can be easily validated since the parameters are well known.
For protocols that only transfer \fIp\fR and \fIg\fR the value of \fIq\fR can also be
retrieved.
.SS "\s-1DH\s0 and \s-1DHX\s0 additional parameters"
.IX Subsection "DH and DHX additional parameters"
.ie n .IP """encoded-pub-key"" (\fB\s-1OSSL_PKEY_PARAM_ENCODED_PUBLIC_KEY\s0\fR) <octet string>" 4
.el .IP "``encoded-pub-key'' (\fB\s-1OSSL_PKEY_PARAM_ENCODED_PUBLIC_KEY\s0\fR) <octet string>" 4
.IX Item "encoded-pub-key (OSSL_PKEY_PARAM_ENCODED_PUBLIC_KEY) <octet string>"
Used for getting and setting the encoding of the \s-1DH\s0 public key used in a key
exchange message for the \s-1TLS\s0 protocol.
See \fIEVP_PKEY_set1_encoded_public_key()\fR and \fIEVP_PKEY_get1_encoded_public_key()\fR.
.SS "\s-1DH\s0 additional domain parameters"
.IX Subsection "DH additional domain parameters"
.ie n .IP """safeprime-generator"" (\fB\s-1OSSL_PKEY_PARAM_DH_GENERATOR\s0\fR) <integer>" 4
.el .IP "``safeprime-generator'' (\fB\s-1OSSL_PKEY_PARAM_DH_GENERATOR\s0\fR) <integer>" 4
.IX Item "safeprime-generator (OSSL_PKEY_PARAM_DH_GENERATOR) <integer>"
Used for \s-1DH\s0 generation of safe primes using the old safe prime generator code.
The default value is 2.
It is recommended to use a named safe prime group instead, if domain parameter
validation is required.
.Sp
Randomly generated safe primes are not allowed by \s-1FIPS,\s0 so setting this value
for the OpenSSL \s-1FIPS\s0 provider will instead choose a named safe prime group
based on the size of \fIp\fR.
.SS "\s-1DH\s0 and \s-1DHX\s0 domain parameter / key generation parameters"
.IX Subsection "DH and DHX domain parameter / key generation parameters"
In addition to the common \s-1FFC\s0 key generation parameters that all \s-1FFC\s0 key types
should support (see \*(L"\s-1FFC\s0 key generation parameters\*(R" in \s-1\fIEVP_PKEY\-FFC\s0\fR\|(7)) the
\&\fB\s-1DH\s0\fR and \fB\s-1DHX\s0\fR keytype implementation supports the following:
.ie n .IP """type"" (\fB\s-1OSSL_PKEY_PARAM_FFC_TYPE\s0\fR) <\s-1UTF8\s0 string>" 4
.el .IP "``type'' (\fB\s-1OSSL_PKEY_PARAM_FFC_TYPE\s0\fR) <\s-1UTF8\s0 string>" 4
.IX Item "type (OSSL_PKEY_PARAM_FFC_TYPE) <UTF8 string>"
Sets the type of parameter generation. For \fB\s-1DH\s0\fR valid values are:
.RS 4
.ie n .IP """fips186_4""" 4
.el .IP "``fips186_4''" 4
.IX Item "fips186_4"
.PD 0
.ie n .IP """default""" 4
.el .IP "``default''" 4
.IX Item "default"
.ie n .IP """fips186_2""" 4
.el .IP "``fips186_2''" 4
.IX Item "fips186_2"
.PD
These are described in \*(L"\s-1FFC\s0 key generation parameters\*(R" in \s-1\fIEVP_PKEY\-FFC\s0\fR\|(7)
.ie n .IP """group""" 4
.el .IP "``group''" 4
.IX Item "group"
This specifies that a named safe prime name will be chosen using the \*(L"pbits\*(R"
type.
.ie n .IP """generator""" 4
.el .IP "``generator''" 4
.IX Item "generator"
A safe prime generator. See the \*(L"safeprime-generator\*(R" type above.
This is only valid for \fB\s-1DH\s0\fR keys.
.RE
.RS 4
.RE
.ie n .IP """pbits"" (\fB\s-1OSSL_PKEY_PARAM_FFC_PBITS\s0\fR) <unsigned integer>" 4
.el .IP "``pbits'' (\fB\s-1OSSL_PKEY_PARAM_FFC_PBITS\s0\fR) <unsigned integer>" 4
.IX Item "pbits (OSSL_PKEY_PARAM_FFC_PBITS) <unsigned integer>"
Sets the size (in bits) of the prime 'p'.
.Sp
For \*(L"fips186_4\*(R" this must be 2048.
For \*(L"fips186_2\*(R" this must be 1024.
For \*(L"group\*(R" this can be any one of 2048, 3072, 4096, 6144 or 8192.
.ie n .IP """priv_len"" (\fB\s-1OSSL_PKEY_PARAM_DH_PRIV_LEN\s0\fR) <integer>" 4
.el .IP "``priv_len'' (\fB\s-1OSSL_PKEY_PARAM_DH_PRIV_LEN\s0\fR) <integer>" 4
.IX Item "priv_len (OSSL_PKEY_PARAM_DH_PRIV_LEN) <integer>"
An optional value to set the maximum length of the generated private key.
The default value used if this is not set is the maximum value of
BN_num_bits(\fIq\fR)). The minimum value that this can be set to is 2 * s.
Where s is the security strength of the key which has values of
112, 128, 152, 176 and 200 for key sizes of 2048, 3072, 4096, 6144 and 8192.
.SS "\s-1DH\s0 key validation"
.IX Subsection "DH key validation"
For \fB\s-1DHX\s0\fR that is not a named group the \s-1FIPS186\-4\s0 standard specifies that the
values used for \s-1FFC\s0 parameter generation are also required for parameter
validation. This means that optional \s-1FFC\s0 domain parameter values for
\&\fIseed\fR, \fIpcounter\fR and \fIgindex\fR or \fIhindex\fR may need to be stored for
validation purposes.
For \fB\s-1DHX\s0\fR the \fIseed\fR and \fIpcounter\fR can be stored in \s-1ASN1\s0 data
(but the \fIgindex\fR or \fIhindex\fR cannot be stored). It is recommended to use a
named safe prime group instead.
.PP
For \s-1DH\s0 keys, \fIEVP_PKEY_param_check\fR\|(3) behaves in the following way:
The OpenSSL \s-1FIPS\s0 provider tests if the parameters are either an approved safe
prime group \s-1OR\s0 that the \s-1FFC\s0 parameters conform to \s-1FIPS186\-4\s0 as defined in
SP800\-56Ar3 \fIAssurances of Domain-Parameter Validity\fR.
The OpenSSL default provider uses simpler checks that allows there to be no \fIq\fR
value for backwards compatibility.
.PP
For \s-1DH\s0 keys, \fIEVP_PKEY_param_check_quick\fR\|(3) is equivalent to
\&\fIEVP_PKEY_param_check\fR\|(3).
.PP
For \s-1DH\s0 keys, \fIEVP_PKEY_public_check\fR\|(3) conforms to
SP800\-56Ar3 \fI\s-1FFC\s0 Full Public-Key Validation\fR.
.PP
For \s-1DH\s0 keys, \fIEVP_PKEY_public_check_quick\fR\|(3) conforms to
SP800\-56Ar3 \fI\s-1FFC\s0 Partial Public-Key Validation\fR when the
\&\s-1DH\s0 key is an approved named safe prime group, otherwise it is the same as
\&\fIEVP_PKEY_public_check\fR\|(3).
.PP
For \s-1DH\s0 Keys, \fIEVP_PKEY_private_check\fR\|(3) tests that the private key is in the
correct range according to SP800\-56Ar3. The OpenSSL \s-1FIPS\s0 provider requires the
value of \fIq\fR to be set (note that this is set for named safe prime groups).
For backwards compatibility the OpenSSL default provider only requires \fIp\fR to
be set.
.PP
For \s-1DH\s0 keys, \fIEVP_PKEY_pairwise_check\fR\|(3) conforms to
SP800\-56Ar3 \fIOwner Assurance of Pair-wise Consistency\fR.
.SH "EXAMPLES"
.IX Header "EXAMPLES"
An \fB\s-1EVP_PKEY\s0\fR context can be obtained by calling:
.PP
.Vb 1
\& EVP_PKEY_CTX *pctx = EVP_PKEY_CTX_new_from_name(NULL, "DH", NULL);
.Ve
.PP
A \fB\s-1DH\s0\fR key can be generated with a named safe prime group by calling:
.PP
.Vb 4
\& int priv_len = 2 * 112;
\& OSSL_PARAM params[3];
\& EVP_PKEY *pkey = NULL;
\& EVP_PKEY_CTX *pctx = EVP_PKEY_CTX_new_from_name(NULL, "DH", NULL);
\&
\& params[0] = OSSL_PARAM_construct_utf8_string("group", "ffdhe2048", 0);
\& /* "priv_len" is optional */
\& params[1] = OSSL_PARAM_construct_int("priv_len", &priv_len);
\& params[2] = OSSL_PARAM_construct_end();
\&
\& EVP_PKEY_keygen_init(pctx);
\& EVP_PKEY_CTX_set_params(pctx, params);
\& EVP_PKEY_generate(pctx, &pkey);
\& ...
\& EVP_PKEY_free(pkey);
\& EVP_PKEY_CTX_free(pctx);
.Ve
.PP
\&\fB\s-1DHX\s0\fR domain parameters can be generated according to \fB\s-1FIPS186\-4\s0\fR by calling:
.PP
.Vb 6
\& int gindex = 2;
\& unsigned int pbits = 2048;
\& unsigned int qbits = 256;
\& OSSL_PARAM params[6];
\& EVP_PKEY *param_key = NULL;
\& EVP_PKEY_CTX *pctx = NULL;
\&
\& pctx = EVP_PKEY_CTX_new_from_name(NULL, "DHX", NULL);
\& EVP_PKEY_paramgen_init(pctx);
\&
\& params[0] = OSSL_PARAM_construct_uint("pbits", &pbits);
\& params[1] = OSSL_PARAM_construct_uint("qbits", &qbits);
\& params[2] = OSSL_PARAM_construct_int("gindex", &gindex);
\& params[3] = OSSL_PARAM_construct_utf8_string("type", "fips186_4", 0);
\& params[4] = OSSL_PARAM_construct_utf8_string("digest", "SHA256", 0);
\& params[5] = OSSL_PARAM_construct_end();
\& EVP_PKEY_CTX_set_params(pctx, params);
\&
\& EVP_PKEY_generate(pctx, &param_key);
\&
\& EVP_PKEY_print_params(bio_out, param_key, 0, NULL);
\& ...
\& EVP_PKEY_free(param_key);
\& EVP_PKEY_CTX_free(pctx);
.Ve
.PP
A \fB\s-1DH\s0\fR key can be generated using domain parameters by calling:
.PP
.Vb 2
\& EVP_PKEY *key = NULL;
\& EVP_PKEY_CTX *gctx = EVP_PKEY_CTX_new_from_pkey(NULL, param_key, NULL);
\&
\& EVP_PKEY_keygen_init(gctx);
\& EVP_PKEY_generate(gctx, &key);
\& EVP_PKEY_print_private(bio_out, key, 0, NULL);
\& ...
\& EVP_PKEY_free(key);
\& EVP_PKEY_CTX_free(gctx);
.Ve
.PP
To validate \fB\s-1FIPS186\-4\s0\fR \fB\s-1DHX\s0\fR domain parameters decoded from \fB\s-1PEM\s0\fR or
\&\fB\s-1DER\s0\fR data, additional values used during generation may be required to
be set into the key.
.PP
\&\fIEVP_PKEY_todata()\fR, \fIOSSL_PARAM_merge()\fR, and \fIEVP_PKEY_fromdata()\fR are useful
to add these parameters to the original key or domain parameters before
the actual validation. In production code the return values should be checked.
.PP
.Vb 11
\& EVP_PKEY *received_domp = ...; /* parameters received and decoded */
\& unsigned char *seed = ...; /* and additional parameters received */
\& size_t seedlen = ...; /* by other means, required */
\& int gindex = ...; /* for the validation */
\& int pcounter = ...;
\& int hindex = ...;
\& OSSL_PARAM extra_params[4];
\& OSSL_PARAM *domain_params = NULL;
\& OSSL_PARAM *merged_params = NULL;
\& EVP_PKEY_CTX *ctx = NULL, *validate_ctx = NULL;
\& EVP_PKEY *complete_domp = NULL;
\&
\& EVP_PKEY_todata(received_domp, OSSL_KEYMGMT_SELECT_DOMAIN_PARAMETERS,
\& &domain_params);
\& extra_params[0] = OSSL_PARAM_construct_octet_string("seed", seed, seedlen);
\& /*
\& * NOTE: For unverifiable g use "hindex" instead of "gindex"
\& * extra_params[1] = OSSL_PARAM_construct_int("hindex", &hindex);
\& */
\& extra_params[1] = OSSL_PARAM_construct_int("gindex", &gindex);
\& extra_params[2] = OSSL_PARAM_construct_int("pcounter", &pcounter);
\& extra_params[3] = OSSL_PARAM_construct_end();
\& merged_params = OSSL_PARAM_merge(domain_params, extra_params);
\&
\& ctx = EVP_PKEY_CTX_new_from_name(NULL, "DHX", NULL);
\& EVP_PKEY_fromdata_init(ctx);
\& EVP_PKEY_fromdata(ctx, &complete_domp, OSSL_KEYMGMT_SELECT_ALL,
\& merged_params);
\&
\& validate_ctx = EVP_PKEY_CTX_new_from_pkey(NULL, complete_domp, NULL);
\& if (EVP_PKEY_param_check(validate_ctx) > 0)
\& /* validation_passed(); */
\& else
\& /* validation_failed(); */
\&
\& OSSL_PARAM_free(domain_params);
\& OSSL_PARAM_free(merged_params);
\& EVP_PKEY_CTX_free(ctx);
\& EVP_PKEY_CTX_free(validate_ctx);
\& EVP_PKEY_free(complete_domp);
.Ve
.SH "CONFORMING TO"
.IX Header "CONFORMING TO"
.IP "\s-1RFC 7919 \s0(\s-1TLS\s0 ffdhe named safe prime groups)" 4
.IX Item "RFC 7919 (TLS ffdhe named safe prime groups)"
.PD 0
.IP "\s-1RFC 3526 \s0(\s-1IKE\s0 modp named safe prime groups)" 4
.IX Item "RFC 3526 (IKE modp named safe prime groups)"
.ie n .IP "\s-1RFC 5114 \s0(Additional \s-1DH\s0 named groups for dh_1024_160"", ""dh_2048_224"" and ""dh_2048_256"")." 4
.el .IP "\s-1RFC 5114 \s0(Additional \s-1DH\s0 named groups for dh_1024_160``, ''dh_2048_224`` and ''dh_2048_256"")." 4
.IX Item "RFC 5114 (Additional DH named groups for dh_1024_160, dh_2048_224 and dh_2048_256"")."
.PD
.PP
The following sections of SP800\-56Ar3:
.IP "5.5.1.1 \s-1FFC\s0 Domain Parameter Selection/Generation" 4
.IX Item "5.5.1.1 FFC Domain Parameter Selection/Generation"
.PD 0
.IP "Appendix D: \s-1FFC\s0 Safe-prime Groups" 4
.IX Item "Appendix D: FFC Safe-prime Groups"
.PD
.PP
The following sections of \s-1FIPS186\-4:\s0
.IP "A.1.1.2 Generation of Probable Primes p and q Using an Approved Hash Function." 4
.IX Item "A.1.1.2 Generation of Probable Primes p and q Using an Approved Hash Function."
.PD 0
.IP "A.2.3 Generation of canonical generator g." 4
.IX Item "A.2.3 Generation of canonical generator g."
.IP "A.2.1 Unverifiable Generation of the Generator g." 4
.IX Item "A.2.1 Unverifiable Generation of the Generator g."
.PD
.SH "SEE ALSO"
.IX Header "SEE ALSO"
\&\s-1\fIEVP_PKEY\-FFC\s0\fR\|(7),
\&\s-1\fIEVP_KEYEXCH\-DH\s0\fR\|(7)
\&\s-1\fIEVP_PKEY\s0\fR\|(3),
\&\fIprovider\-keymgmt\fR\|(7),
\&\s-1\fIEVP_KEYMGMT\s0\fR\|(3),
\&\fIOSSL_PROVIDER\-default\fR\|(7),
\&\s-1\fIOSSL_PROVIDER\-FIPS\s0\fR\|(7)
.SH "COPYRIGHT"
.IX Header "COPYRIGHT"
Copyright 2020\-2021 The OpenSSL Project Authors. All Rights Reserved.
.PP
Licensed under the Apache License 2.0 (the \*(L"License\*(R"). You may not use
this file except in compliance with the License. You can obtain a copy
in the file \s-1LICENSE\s0 in the source distribution or at
<https://www.openssl.org/source/license.html>.